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Finding the Fourth Proportional to 414,911.80, 620,985.30 and 365,145.40

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Solution

The fourth proportional to 414,911.80, 620,985.30 and 365,145.40 is: 546,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,911.80 : 620,985.30 = 365,145.40 : x
  2. Step 2: Convert to fraction form
    414,911.80/620,985.30 = 365,145.40/x
  3. Step 3: Cross multiply
    414,911.80x = 620,985.30 × 365,145.40
  4. Step 4: Simplify right side
    414,911.80x = 226,749,925,762.62
  5. Step 5: Solve for x
    x = 226,749,925,762.62/414,911.80
  6. Step 6: Final answer
    x = 546,501.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.